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Variationally Asymptotically Stable Difference Systems
<p/> <p>We characterize the <it>h</it>-stability in variation and asymptotic equilibrium in variation for nonlinear difference systems via n<sub>∞</sub>-summable similarity and comparison principle. Furthermore we study the asymptotic equivalence between nonlinear difference systems and their variational difference systems by means of asymptotic equilibria of two systems.</p